| 一类具有收获系数的单种群模型的混沌分析及反馈控制 |
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| 引用本文： | 周燕.一类具有收获系数的单种群模型的混沌分析及反馈控制[J].平原大学学报,2009(4). |
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| 作者姓名： | 周燕 |
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| 作者单位： | 盐城师范学院数学科学学院; |
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| 摘 要： | 分析了一类具有收获系数的单种群模型的差分方程,得到了该模型的不动点及其稳定的参数区域和吸引的参数区域,利用混沌动力学知识分析其2-周期解的稳定区域,根据Li-York定理和邓小炎的方法得到了模型的3-周期解的存在性,即存在混沌现象。利用一种基于Lyapunov指数的状态反馈控制策略,使混沌状态的单种群模型变为可测。该控制策略可将混沌状态的单种群模型快速地收敛于给定的任意值。
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| 关 键 词： | 生物数学 单种群模型 混沌分析 反馈控制 |
Chaos Analysis and Feedback Control of a Single-species Models with Harvesting |
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| ZHOU Yan.Chaos Analysis and Feedback Control of a Single-species Models with Harvesting[J].Journal of Pingyuan University,2009(4). |
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| Authors: | ZHOU Yan |
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| Institution: | School of Mathematics;Yancheng Teachers University;Yancheng 224002;China |
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| Abstract: | In this paper,a difference equation of a single-species model with harvesting is established.The fixed-point and its stable regions and attractive regions are deduced from the theory of ordinary differential equations.According to the chaotic dynamical systems theory,the stable regions of two periodic solutions are analyzed.Based on Li-York theorem and Deng Xiao-yan's method,there exists three periodic solutions,that is to say,chaos exists.The chaotic single-species model can become measurable by feedback c... |
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| Keywords: | Biomathematics single-species models chaos analysis feedback control |
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